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Finding the Fourth Proportional to 6,627.70, 9,941.32 and 1,697.38

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Solution

The fourth proportional to 6,627.70, 9,941.32 and 1,697.38 is: 2,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.70 : 9,941.32 = 1,697.38 : x
  2. Step 2: Convert to fraction form
    6,627.70/9,941.32 = 1,697.38/x
  3. Step 3: Cross multiply
    6,627.70x = 9,941.32 × 1,697.38
  4. Step 4: Simplify right side
    6,627.70x = 16,874,197.74
  5. Step 5: Solve for x
    x = 16,874,197.74/6,627.70
  6. Step 6: Final answer
    x = 2,546.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.